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4. Given an array, A, of n integers, give an O(n)-time algorithm that finds the longest subarray of A such that all the numbers

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4. Given an array, A, of n integers, give an O(n)-time algorithm that finds the longest subarray of A such that all the numbers in that subarray are in sorted order. Your algorithm outputs two integers: the initial and final indices of the longest subarray. (a) (4 marks) Give the algorithm pseudocode. (b) (1 mark) Justify your big-Oh (1 mark). A solution that uses extra memory that is in O(1) is worth 100%; if you use O(n) extra memory your solutions is worth 80%. Example: If n = 10 and A= [8,6,7,10,-2,4,5,6,2,5] then the algorithm outputs 4 and 7, since A[4..7] [-2, 4, 5, 6] is the longest sorted subarray.

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